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The 'L' shape is reflected over the y axis. 3 Which one of the following shows the correct image? AY

The 'L' shape is reflected over the y axis. 3 Which one of the following shows the correct image? AY

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Reflecting Shapes Over the Y-Axis** In this exercise, we explore the reflection of an 'L' shaped figure over the y-axis. The initial shape is given on a grid with x and y axes marked. The task is to determine which of the four options (A, B, C, D) correctly represents the shape after reflection. **Original Shape:** - The 'L' shape is positioned on the grid, with the corner pointing right and downwards. - The y-axis is the line of reflection. **Options for the Reflected Shape:** - **Option A:** The 'L' shape is flipped horizontally, appearing to face left and downwards. - **Option B:** The 'L' shape does not appear correctly reflected; it extends to the left and upwards. - **Option C:** The 'L' shape is correctly reflected over the y-axis, facing left and upwards. - **Option D:** The 'L' shape seems misplaced as it faces right and upwards. **Correct Answer:** - **Option C** correctly shows the 'L' shape reflected over the y-axis. Notice how each part of the shape is an equal distance from the y-axis on the opposite side, creating a mirror image horizontally. Understanding reflections over different axes helps in grasping fundamental concepts of symmetry and transformations in geometry.
Transcribed Image Text:**Reflecting Shapes Over the Y-Axis** In this exercise, we explore the reflection of an 'L' shaped figure over the y-axis. The initial shape is given on a grid with x and y axes marked. The task is to determine which of the four options (A, B, C, D) correctly represents the shape after reflection. **Original Shape:** - The 'L' shape is positioned on the grid, with the corner pointing right and downwards. - The y-axis is the line of reflection. **Options for the Reflected Shape:** - **Option A:** The 'L' shape is flipped horizontally, appearing to face left and downwards. - **Option B:** The 'L' shape does not appear correctly reflected; it extends to the left and upwards. - **Option C:** The 'L' shape is correctly reflected over the y-axis, facing left and upwards. - **Option D:** The 'L' shape seems misplaced as it faces right and upwards. **Correct Answer:** - **Option C** correctly shows the 'L' shape reflected over the y-axis. Notice how each part of the shape is an equal distance from the y-axis on the opposite side, creating a mirror image horizontally. Understanding reflections over different axes helps in grasping fundamental concepts of symmetry and transformations in geometry.
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